Title

Authors

Publication Date

2003

Journal or Book Title

MATHEMATICAL RESEARCH LETTERS

Abstract

We give a characterization of the Dynkin elements of a simple Lie algebra. Namely, we prove that one-half of a Dynkin element is the unique point of minimal length in its $N$-region. In type $A_n$ this translates into a statement about the regions determined by the canonical left Kazhdan-Lusztig cells, which leads to some conjectures in representation theory.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at